241540000 has 120 divisors (see below), whose sum is σ = 640623060. Its totient is φ = 89088000.

The previous prime is 241539983. The next prime is 241540001. The reversal of 241540000 is 45142.

241540000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 124813584 + 116726416 = 11172^2 + 10804^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (241540001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259536 + ... + 260464.

Almost surely, 2^241540000 is an apocalyptic number.

241540000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320311530).

241540000 is an abundant number, since it is smaller than the sum of its proper divisors (399083060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241540000 is an equidigital number, since it uses as much as digits as its factorization.

241540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 241540000 is about 15541.5571935376. The cubic root of 241540000 is about 622.7728732771.

Adding to 241540000 its reverse (45142), we get a palindrome (241585142).

The spelling of 241540000 in words is "two hundred forty-one million, five hundred forty thousand".